What is the Least Common Multiple of 85678 and 85692?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 85678 and 85692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85678 and 85692, than apply into the LCM equation.

GCF(85678,85692) = 2
LCM(85678,85692) = ( 85678 × 85692) / 2
LCM(85678,85692) = 7341919176 / 2
LCM(85678,85692) = 3670959588

Least Common Multiple (LCM) of 85678 and 85692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85678 and 85692. First we will calculate the prime factors of 85678 and 85692.

Prime Factorization of 85678

Prime Factorization of 85692

Now multiplying the highest exponent prime factors to calculate the LCM of 85678 and 85692.

LCM(85678,85692) = 2² × 42839¹ × 3¹ × 37¹ × 193¹
LCM(85678,85692) = 3670959588